Kernel Functions for Difference Operators of Ruijsenaars Type and Their Applications

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dc.contributor.authorKomori, Y.
dc.contributor.authorNoumi, M.
dc.contributor.authorShiraishi, J.
dc.date.accessioned2019-02-19T17:28:01Z
dc.date.available2019-02-19T17:28:01Z
dc.date.issued2009
dc.description.abstractA unified approach is given to kernel functions which intertwine Ruijsenaars difference operators of type A and of type BC. As an application of the trigonometric cases, new explicit formulas for Koornwinder polynomials attached to single columns and single rows are derived.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Proceedings of the Workshop “Elliptic Integrable Systems, Isomonodromy Problems, and Hypergeometric Functions” (July 21–25, 2008, MPIM, Bonn, Germany). The authors express their sincere gratitude to Professor Simon Ruijsenaars for his valuable comments concerning the comparison of results in the present paper with those in his series of works, and to Professor Eric Rains for suggesting the connection of the explicit formulas for the Koornwinder polynomials in this paper with the binomial expansion formula in terms of interpolation polynomials. Also, they are grateful to the anonymous referees who kindly of fered helpful suggestions for improving the manuscript.uk_UA
dc.identifier.citationKernel Functions for Difference Operators of Ruijsenaars Type and Their Applications / Y. Komori, M. Noumi, J. Shiraishi // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 24 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2000 Mathematics Subject Classification: 81R12; 33D67
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/149112
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleKernel Functions for Difference Operators of Ruijsenaars Type and Their Applicationsuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5, випуск за цей рік